Class 3 Imo 5 Years e Book15

August 4, 2017 | Author: Nilesh Gupta | Category: Mathematics
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Copyright © 2015 Science Olympiad Foundation. Printed with the permission of Science Olympiad Foundation. No part

of this publication may be reproduced, transmitted, in any form or by any means, electronic, mechanical, photocopying, recording or otherwise, without the prior permission of the copyright holder. Ownership of an ebook does not give the possessor the ebook copyright. All disputes subject to Delhi jurisdiction only.

Disclaimer : The information in this book is to give you the path to success but it does not guarantee 100% success as the strategy is completely dependent on its execution. And it is based on last years papers of IMO exam.

Published by : MTG Learning Media (P) Ltd. Corporate Office : Plot 99, 2nd Floor, Sector 44 Institutional Area, Gurgaon, Haryana. Phone : 0124 - 4951200 Web: mtg.in Email: [email protected] Regd. Office : 406, Taj Apt., Ring Road, Near Safdarjung Hospital, New Delhi-110029

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CLASS 12

Contents ªª 4th IMO 2010 ªª 5th IMO 2011 ªª 6th IMO 2012 - SET A ªª 6th IMO 2012 - SET B ªª 7th IMO 2013 - SET A ªª 7th IMO 2013 - SET B ªª 8th IMO 2014 - SET A ªª 8th IMO 2014 - SET B

MTG Work-Books / olympiad books CLASS 1

International Mathematics Olympiad

National Science Olympiad

International English Olympiad

MTG CSS Series

CLASS 2

International Mathematics Olympiad

National Science Olympiad

National Cyber Olympiad

International English Olympiad

MTG CSS Series

International English Olympiad

MTG CSS Series

CLASS 3

International Mathematics Olympiad

National Science Olympiad

National Cyber Olympiad

MTG Work-Books / olympiad books CLASS 4

International Mathematics Olympiad

National Science Olympiad

National Cyber Olympiad

International English Olympiad

MTG CSS Series

International English Olympiad

MTG CSS Series

International English Olympiad

MTG CSS Series

CLASS 5

International Mathematics Olympiad

National Science Olympiad

National Cyber Olympiad

CLASS 6

International Mathematics Olympiad

National Science Olympiad

National Cyber Olympiad

MTG Work-Books / olympiad books CLASS 7

National Science Olympiad

International Mathematics Olympiad

National Cyber Olympiad

Science IQ Challenge

Math IQ Challenge

International English Olympiad

MTG CSS Series

Master Mental Ability in 30 Days

CLASS 8

International Mathematics Olympiad

National Science Olympiad

National Cyber Olympiad

International English Olympiad

MTG CSS Series

Math IQ Challenge

Science IQ Challenge

Psychology of Success

The Secrets of SUCCESS

Master Mental Ability in 30 Days

MTG Work-Books / olympiad books CLASS 9

International Mathematics Olympiad

Math IQ Challenge

National Science Olympiad

Science IQ Challenge

National Cyber Olympiad

Psychology of Success

The Secrets of SUCCESS

International English Olympiad

Master Mental Ability in 30 Days

CLASS 10

International Mathematics Olympiad

Math IQ Challenge

National Science Olympiad

Science IQ Challenge

National Cyber Olympiad

Psychology of Success

The Secrets of SUCCESS

International English Olympiad

Master Mental Ability in 30 Days

MTG Work-Books / olympiad books CLASS 11

International Mathematics Olympiad

Math IQ Challenge

Science IQ Challenge

National Science Olympiad

Psychology of Success

National Cyber Olympiad

The Secrets of SUCCESS

Master Mental Ability in 30 Days

CLASS 12

International Mathematics Olympiad

Math IQ Challenge

Science IQ Challenge

National Science Olympiad

Psychology of Success

National Cyber Olympiad

The Secrets of SUCCESS

Master Mental Ability in 30 Days

Class

1 to 10

JEE (Main & Advanced) | AIPMT | BOARDS | OLYMPIAD | NTSE

FOUNDATION COURSE For Classes 7, 8, 9 & 10 Class 7

Class 8

Class 9

Class 10

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Ý´¿­­ í

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Figure (X)

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2 3 R S + P Q 7 8 5 9 1 0

Copyright©2015. Science Olympiad Foundation (SOF)

Class 3 8th

Set A Year 2014

Copyright©2015. Science Olympiad Foundation (SOF)

8th IMO - Set A

1

logical reasoning 1. Find the odd one out.





A.

B.



C.



D.

2. How many triangles are there in the given figure?

A. 26



B. 30



C. 31



D. 32

3. Which box is the heaviest?



A.



B.



C.



D.

4. Which of the following options show the mirror image of Fig. (X), if the mirror is placed along MN? M C 7

8

A N

Fig. (X) C

A.

A

8

C 7

B.

A

8

7 7



C.

8 C

C

A

Space for Rough Work

Copyright©2015. Science Olympiad Foundation (SOF)

D.

A

8

7

8th IMO - Set A

2

5. Which figure comes next in the given figure pattern? ? A.

B.

C.

D.

6. Observe the given figure carefully and answer the question based on it.

Left E

F

C

G

H

B

D

A

L

X

P



If soldier F and L interchange their positions, then who is third to left of F? A. B B. H C. G D. C

7.

Find the word that CAnnot be formed from the letters of the given word. IntELLIGEnCE B. InCItE C. GEntLE

A. CAnCEL 8.

D. nEGLECt

Which of the following shapes is not present in the given figure?



A. triangle t

B. Square C. Rectangle D. Circle

9. Find the missing number which will replace the (?). 3 4

9 6

A. 9

B. 8

2 5

1

4

7 3

2

5

?

6

4 C. 10

D. 11

10. If 'Desk' is called 'Chair', 'Chair' is called 'Blackboard', 'Blackboard' is called 'Duster' and 'Duster' is called 'Chalk', then where does the teacher write in the classroom? A. Desk B. Chair C. Duster D. Blackboard Space for Rough Work

Copyright©2015. Science Olympiad Foundation (SOF)

8th IMO - Set A

3

mathematical reasoning 11. Study the number statements (I) & (II) below and answer the following question. I.

1563 + 345 =

II.

2000 –

=

the value of A. 908, even

12.

is ______ and it is an ______ number. B. 908, odd

C. 92, even

D. 92, odd

 A number is less than 47 but more than 40.  It is divisible by 4.  When added to 19, what will be the resulting number?

A. 40

B. 44

C. 59

D. 63

13. Find the value of P. A. 4 +

B. 3 C. 5

3 P 8

2 8 1

9 4 4

D. 6 14. What fraction of the given figure is unshaded?



A.

8 20

B.

12 20

C.

14 20

D.

10 20

15. there are _____ thousands in 964380. A. 64

B. 68

C. 86 Space for Rough Work

Copyright©2015. Science Olympiad Foundation (SOF)

D. 46

3 9 2

8th IMO - Set A

4

16. Which of the following options has the smallest value?



140 tens less than 6 thousands

A.

B.

8 hundreds more than 10 hundreds



9 hundreds + 10 tens – 43 ones

C.

D.

8 tens + 4 thousands + 3 hundreds

17. What would be the total cost of 5 lollipops and 5 candies ? ` 5 each ` 1 each Lollipops

A. ` 40

Candies

B. ` 30

C. ` 55

18. What is the weight of an apple ?



D. ` 45





A. 100 g



B. 200 g



C. 150 g



D. 30 g

0 500 g 100 400 200 300

19. The given clocks show Mohit's sleeping and wake up time. How much time does he sleep? Sleep time

A. 6 hours 45 minutes



B. 7 hours 15 minutes



C. 8 hours 15 minutes



D. 7 hours 45 minutes

Wake up time

20. Which thermometer shows 88 °F ? 90°



A.

80°

°F

90°



B.

80°

°F

90°



C.

80°

°F

90°



D.

80°

70°

70°

70°

70°

60°

60°

60°

60°

Space for Rough Work

Copyright©2015. Science Olympiad Foundation (SOF)

°F

8th IMO - Set A

5

Everyday mathematics 21. Garima puts 154 marbles into each of her 20 boxes. She has 28 marbles left. How many marbles does she have altogether?

A. 3052

B. 3108

C. 3080

D. 3256

22. 6 pens and 3 pencils cost ` 42. If a pencil cost ` 2, then how much does a pen cost?

A. ` 6

B. ` 7

C. ` 4

D. ` 8

23. A toy shop has 150 cars and 101 trains. It has 45 more dolls than the number of cars and trains together. How many dolls does the shop have?

A. 286

B. 251

C. 296

D. 301

24. On 1st December, there were 1275 tourists in Kerala. On 2nd December, 983 more tourists came in, and 1163 left for Goa. How many tourists were there in Kerala on 2nd December?

A. 2095

B. 2258

C. 1195

D. 1095

25. A man buys 45 bananas for his monkeys every day. How many bananas does he buy in the month of September?

A. 1285

B. 1350

C. 1850

D. 1395

26. Rohan needs 315 earthen lamps to decorate his house. The lamps come in boxes of 15. How many boxes should he buy?

A. 21

B. 1185

C. 22

D. 4725

27. Nita's doll costs ` 243. Varun's remote-controlled car costs 4 times as much as the doll. How much does Varun's car cost?

A. ` 246

B. ` 827

C. ` 972

D. ` 729

28. My dog weighs 22 kg. Raj's dog is half as heavy as my dog. What is the weight of Raj's dog?

A. 24 kg

B. 11 kg

C. 10 kg Space for Rough Work

Copyright©2015. Science Olympiad Foundation (SOF)

D. 44 kg

8th IMO - Set A

6

29. A cow gives 4 L 345 mL of milk on Wednesday and 3 L 645 mL on Thursday. On which day did it give more milk and by how much?

A. Thursday, 543 mL

B. Wednesday, 345 mL



C. Thursday, 700 mL

D. Wednesday, 700 mL

30. Latika starts her piano and dance lesson at 3 p.m. A piano lesson takes 1 hour and a dance lesson takes 30 minutes. What time does she finish her lessons?

A. 5:00 p.m.

B. 4:00 p.m.

C. 4:30 p.m.

D. 5:30 p.m.

achievers section 31. Study the diagram below. Each figure stands for a number.

24

Find the value of



A. 6

25 ×

16

10

.

B. 30

C. 12

D. 40

32. The weight of a marble is 5 grams. What is the minimum number of marbles needed to tip the scale below to the right? 28 g



A. 6

B. 8

C. 10

D. 5

33. Read the clues below and help Tarun obtain his lucky 4 digit number PQRS.  The digit P is the greatest odd digit.  R is 4 less than P.  Q is 7 less than P.  S has the value (9 tens – 90 ones).

A. 9250

B. 9640

C. 9432 Space for Rough Work

Copyright©2015. Science Olympiad Foundation (SOF)

D. 9932

8th IMO - Set A

34. If

7

+

+

+

= 24,

×

= 18 and



= ___ ?__

A. 9

B. 6

C. 3

D. 12

35. Vikas ate ____ fewer jellies than Aisha. Number of jellies eaten Megha Vikas Neetu Aisha Yash Each

A. 5

B. 2

stands for 5 jellies. C. 10

Space for Rough Work

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D. 3

= 6, then

Class 3 8th

Set B Year 2014

Copyright©2015. Science Olympiad Foundation (SOF)

2

8th IMO - Set B

logical Reasoning 1. Which figure comes next in the given figure pattern?

A.



B.



C.

D.





2. Choose the fish that does not belong to the group. 645

A.





836

B.



3. If

and





A. C.

924

C.

483

D.



, then B. D.



4. Which of the following options shows the correct mirror image of Fig.(X)?

A.

B.





C.

D.





5. Four friends ran in a race competition. Mohit stood the last. Rohan is not third and Riya is not first. Kirti stood after Rohan but before Riya. Who stood at the third position?

A. Rohan

B. Kirti

C. Riya Space for Rough Work

Copyright©2015. Science Olympiad Foundation (SOF)

D. Mohit

8th IMO - Set B

3

6. Which solid is used to draw the Shape (X)?

Shape (X)

A.



B.



C.

D.





7. Find the figure from the options which is NOT exactly embedded in Fig.(X).



A.





B.



C.







D.



8. In how many ways can a cat reach its food?

A. B. C. D.

3 4 5 6

9. Find the combination of numbers so that letters are arranged accordingly to form a meaningful word. h U M O T 1 2 3 4 5

A. 3, 4, 2, 5, 1

B. 3, 4, 5, 2, 1

C. 5, 4, 3, 2, 1

D. 1, 2, 3, 5, 4

10. Find the missing number, if a certain rule is applied row-wise or column-wise.

A. B. C. D.

1 2 0 3 Space for Rough Work

Copyright©2015. Science Olympiad Foundation (SOF)

5

5

0

4

3

3

1

?

7

4

8th IMO - Set B

mathematical Reasoning 11. Which of the following figures shows that



A.

B.

of the figure is shaded? C.





D.





12. What is the time shown on the clock?

A. B. C. D.

15 15 15 15

minutes minutes minutes minutes

to 4 to 5 past 4 past 5

13. Find the value of P.

A. B. C. D.

×

7 8 3 4

2 4 1 P

1 9 2 + 2 4 0 4 3 2

14. Which of the given abacus shows the number greater than 2000?

A.

B.





C.



D.





15. The given picture graph shows the favourite fruit of a group of pupils. Find the total number of fruits.



A. B. C. D.

23 96 14 84

Apple Each

Orange

Peach

stands for 6 fruits.

Space for Rough Work

Copyright©2015. Science Olympiad Foundation (SOF)

Banana

8th IMO - Set B

5

16. Madhulika has some money in her money box. She has the amount as shown here.



Her friend Sonika has some rupee notes with her. She wants to exchange these with Madhulika. Which of the amount shown below is same as Madhulika’s amount ?

A.



B.



17. What is the weight of

A. B. C. D.

4 5 6 3

A. B. C. D.

D.





?

kg kg kg kg

18. Find the value of

C.

.

1482 1388 1278 694

19. The sum of 1727 and 6475 is ______.

A. Eighty two thousand and two C. Seven thousand two hundred and two

B. Eight thousand two hundred and two D. Eight thousand two hundred and twenty

Space for Rough Work

Copyright©2015. Science Olympiad Foundation (SOF)

6

8th IMO - Set B

20. 12 tens 49 ones + 36 tens 52 ones =

Find the value of



A. 754

– 173.

. B. 408

C. 581

D. 243

Everyday mathematics 21. Latika has 162 chocolate cakes and 182 strawberry cakes. How many total cakes does she has?

A. 244

B. 348

C. 249

D. 344

22. Varun and Raj have 159 postcards altogether. Varun has 112 postcards. How many postcards does Raj has?

A. 37

B. 47

C. 27

D. 57

23. Garima has 19 plates. She puts 14 flowers on each plate. How many flowers are there altogether?

A. 116

B. 136

C. 266

D. 282

24. Amit has 14 green toy cars and 16 red toy cars. He arranges the toy cars into 3 equal rows. How many toy cars are there in each row?

A. 10

B. 90

C. 30

D. 22

25. Beena needs 5 m 25 cm of the string to tie the plant and 7 m 55 cm of the string to tie the books. How much string does Beena need altogether?

A. 1280 cm

B. 1482 cm

C. 1382 cm

D. 1820 cm

26. The cricket match began at 9 : 00 a.m. and finished at 5 : 30 p.m. How long did the match last?

A. 7 hrs 50 mins

B. 8 hrs

C. 7 hrs

D. 8 hrs 30 mins

27. 981 books are to be arranged on 9 shelves. Each shelf contains same number of books. How many books are kept on each shelf?

A. 19

B. 119

C. 109 Space for Rough Work

Copyright©2015. Science Olympiad Foundation (SOF)

D. 8829

8th IMO - Set B

7

28. There are 32 birds. Only tree?

A. 8

of them are on the tree. How many birds are there on the

B. 9

C. 128

D. 36

29. On Diwali, Anuj's father gave him ` 1359 and his mother gave him ` 1505. How much money did he get from his parents?

A. ` 1846

B. ` 2864

C. ` 2648

D. ` 2341

30. One basket weighs 132 kg. How much will 8 similar baskets weigh?

A. 1506 kg

B. 1250 kg

C. 1065 kg

D. 1056 kg

ACHIEVERS SECTION 31. Find the value of +



= 12;

A. 11

. +

= 17;



B. 16

= 9;

=

×

C. 20



= ?

D. 14

32. When largest 4-digit number is divided by the smallest 3-digit number, then

A. Quotient = 9, Remainder = 999 C. Quotient = 999, Remainder = 999

B. Quotient = 99, Remainder = 99 D. Quotient = 999, Remainder = 9

33. A school concert started at quarter to eight in the evening and ended at a quarter past ten. Aman left the concert 45 minutes before it ended.

(a) What was the duration of the concert?



(b) At what time did Aman leave the concert?

A. B. C. D.

2 3 2 1

(a) hours hours hours 30 minutes hour 45 minutes

(b) 9 : 00 p.m. 9 : 30 p.m. 9 : 30 p.m. 10 : 30 p.m.



Space for Rough Work

Copyright©2015. Science Olympiad Foundation (SOF)

8

8th IMO - Set B

34. Look at the given number bond.

Q is 1 more than P.



Then, P + Q = _______.



A. 1 C. 6

B. 5 D. 9

35. Gautam and Prateek are stuck on a question. Look at the given clues and help them to find the correct answer.



An eraser has length 5 cm.





6 erasers are placed in a straight line with a spacing of 4 cm between each eraser.



Find the distance between the 1st eraser and the 6th eraser.



A. 40 cm

B. 45 cm

C. 35 cm

Space for Rough Work

Copyright©2015. Science Olympiad Foundation (SOF)

D. 30 cm

ANSWER KEYS 4 th  IMO (2010)  1.  (A)  11.  (B)  21.  (C)  31.  (A)  41.  (A) 

2.  (C)  12.  (C)  22.  (A)  32.  (D)  42.  (A) 

3.  (A)  13.  (C)  23.  (D)  33.  (D)  43.  (C) 

4.  (A)  14.  (A)  24.  (C)  34.  (A)  44.  (B) 

5.  (A)  15.  (A)  25.  (A)  35.  (C)  45.  (C) 

6.  (A)  16.  (A)  26.  (B)  36.  (C)  46.  (D) 

7.  (A)  17.  (B)  27.  (B)  37.  (B)  47.  (D) 

8.  (A)  18.  (A)  28.  (A)  38.  (A)  48.  (A) 

9.  19.  29.  39.  49. 

(D)  (A)  (D)  (D)  (B) 

10.  20.  30.  40.  50. 

(C)  (B)  (A)  (B)  (B) 

7. (C)  17. (C)  27. (B) 

8. (C)  18. (C)  28. (B) 

9. (B)  19. (A)  29. (C) 

10. 20. 30.

(B)  (B)  (A) 

7. (A)  17. (C)  27. (A) 

8. (B)  18. (D)  28. (B) 

9. (C)  19. (A)  29. (C) 

10. 20. 30.

(A)  (B)  (C) 

7.  (D)  17.  (C)  27.  (B) 

8.  (B)  18.  (D)  28.  (C) 

9.  (A)  19.  (B)  29.  (C) 

10.  (C)  20.  (A)  30.  (B) 

7.  (B)  17.  (A)  27.  (A) 

8.  (B)  18.  (C)  28.  (D) 

9.  (A)  19.  (D)  29.  (A) 

10.  (B)  20.  (B)  30.  (A) 

7.  (C)  17.  (A)  27.  (B) 

8.  (C)  18.  (D)  28.  (B) 

9.  (C)  19.  (B)  29.  (D) 

10.  (A)  20.  (A)  30.  (A) 

7.  (A)  17.  (B)  27.  (C) 

8.  (B)  18.  (A)  28.  (B) 

9.  (D)  19.  (D)  29.  (D) 

10.  (C)  20.  (A)  30.  (C) 

7.  (C)  17.  (B)  27.  (C) 

8.  (B)  18.  (B)  28.  (A) 

9.  (A)  19.  (B)  29.  (B) 

10.  (B)  20.  (A)  30.  (D) 

5 th  IMO (2011)  1. 11. 21. 31.

(D)  (A)  (A)  (B) 

2. 12. 22. 32.

(A)  (B)  (B)  (C) 

3. 13. 23. 33.

(B)  (B)  (A)  (B) 

4. 14. 24. 34.

(B)  (A)  (A)  (B) 

5. 15. 25. 35.

(C)  (C)  (B)  (D) 

6. (C)  16. (C)  26. (B) 

6 th  IMO (2012)  SET A  1. 11. 21. 31.

(C)  (C)  (C)  (C) 

2. 12. 22. 32.

(A)  (C)  (C)  (D) 

3. 13. 23. 33.

(C)  (A)  (C)  (C) 

4. 14. 24. 34.

(C)  (C)  (D)  (D) 

5. 15. 25. 35.

(B)  (C)  (C)  (B) 

6. (D)  16. (B)  26. (D) 

SET B  1.  (D)  11.  (D)  21.  (A)  31.  (D) 

2.  (A)  12.  (C)  22.  (C)  32.  (C) 

3.  (C)  13.  (D)  23.  (A)  33.  (C) 

4.  (C)  14.  (B)  24.  (C)  34.  (B) 

5.  (C)  15.  (B)  25.  (B)  35.  (C) 

6.  (C)  16.  (C)  26.  (C) 

7 th  IMO (2013)  SET A  1.  (C)  11.  (B)  21.  (B)  31.  (B) 

2.  (B)  12.  (A)  22.  (D)  32.  (B) 

3.  (B)  13.  (C)  23.  (B)  33.  (A) 

4.  (C)  14.  (D)  24.  (C)  34.  (A) 

5.  (C)  15.  (C)  25.  (D)  35.  (D) 

6.  (D)  16.  (C)  26.  (A) 

SET B  1.  (B)  11.  (D)  21.  (A)  31.  (B) 

2.  (C)  12.  (A)  22.  (C)  32.  (C) 

3.  (D)  13.  (B)  23.  (D)  33.  (B) 

4.  (C)  14.  (B)  24.  (C)  34.  (C) 

5.  (D)  15.  (B)  25.  (C)  35.  (D) 

6.  (C)  16.  (A)  26.  (B) 

8 th  IMO (2014)  SET A  1.  (D)  11.  (C)  21.  (B)  31.  (C) 

2.  (D)  12.  (D)  22.  (A)  32.  (A) 

3.  (D)  13.  (A)  23.  (C)  33.  (A) 

4.  (B)  14.  (B)  24.  (D)  34.  (A) 

5.  (C)  15.  (A)  25.  (B)  35.  (C) 

6.  (A)  16.  (C)  26.  (A) 

SET B  1.  (D)  11.  (B)  21.  (D)  31.  (B) 

2.  (B)  12.  (B)  22.  (B)  32.  (B) 

3.  (B)  13.  (B)  23.  (C)  33.  (C) 

4.  (B)  14.  (B)  24.  (A)  34.  (D) 

5.  (C)  15.  (D)  25.  (A)  35.  (A)

6.  (C)  16.  (C)  26.  (D) 

Copyright©2015. Science Olympiad Foundation (SOF)

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